Charge asymmetry in the processes e +e – → μ +μ –γ and e +e – → π +π –γ is measured using 232 fb –1 of data collected with the BABAR detector at e +e – center-of-mass energies near 10.58 GeV. An observable is introduced and shown to be very robust against detector asymmetries while keeping a large sensitivity to the physical charge asymmetry that results from the interference between initial- and final-state radiation (FSR). The asymmetry is determined as a function of the invariant mass of the final-state tracks from production threshold to a few GeV/c 2. Itmore » is compared to the expectation from QED for e +e – → μ +μ –γ, and from theoretical models for e +e – → π +π –γ. A clear interference pattern is observed in e +e – → π +π –γ, particularly in the vicinity of the f 2(1270) resonance. As a result, the inferred rate of lowest-order FSR production is consistent with the QED expectation for e +e – → μ +μ –γ, and is negligibly small for e +e – → π +π –γ.« less